Question

34. A die is thrown then the probability
of getting an even number and a
prime number are:​

Answer 1

Answer:

the probability of getting an even number is

3/6

Answer 2

Answer:

Step-by-step explanation:

A die is thrown. Find the probability of getting:

(i) a prime number  

(ii) 2 or 4

(iii) a multiple of 2 or 3  

(iv) an even prime number

(v) a number greater than 5            

(vi) a number lying between 2 and 6

Soln:

GIVEN: A dice is thrown once

TO FIND

(i) Probability of getting a prime number

(ii) Probability of getting 2 or 4

(iii) Probability of getting a multiple of 2 or 3.

(iv) Probability of getting an even number

(v) Probability of getting a number greater than five.

(vi) Probability of lying between 2 and 6

Total number on a dice is 6.

(i) Prime number on a dice are 2,3,5 Total number of prime numbers on dice is 3

We know that PROBABILITY = NumberoffavorableeventTotalnumberofevent

Hence probability of getting a prime number = 36=12

(ii) For getting 2 and 4 favorable outcome are 2

We know that PROBABILITY = NumberoffavorableeventTotalnumberofevent

Hence probability of getting 2 or 4 = 26=13

(iii) Multiple of 2 are 3 are 2, 3, 4 and 6

Hence favorable outcome is 4

We know that PROBABILITY = NumberoffavorableeventTotalnumberofevent

Hence probability of getting an multiple of 2 or 3 = 46=23

(iv) An even prime number is 2

Hence favorable outcome is 1

We know that PROBABILITY = NumberoffavorableeventTotalnumberofevent

Hence probability of getting an even prime number 16

(v) A number greater than 5 is 6

Hence favorable outcome is 1

We know that PROBABILITY = NumberoffavorableeventTotalnumberofevent

Hence probability of getting a number greater than 5 = 16

(vi) Total number on a dice is 6.

Number tying between 2 and 6 are 3, 4 and 5

Total number of number lying between 2 and 6 is 3

We know that PROBABILITY = NumberoffavorableeventTotalnumberofevent

Hence probability of getting a number lying between 2 and 6 = 36=12